Geometry SAT Review Week Flashcard

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always non-negative.

Front

How do you solve an absolute value equation like |v + 8| − 5 = 2?

Back

To solve |v + 8| − 5 = 2, isolate the absolute value: |v + 8| = 7. Then, set up two equations: v + 8 = 7 and v + 8 = -7.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you find the solution to a system of equations graphically?

Back

To find the solution graphically, plot each equation on the same graph. The point(s) where the lines intersect represent the solution(s).

Front

What does it mean for two numbers to have a sum of -10 and a difference of -2?

Back

It means that if you add the two numbers, the result is -10, and if you subtract one from the other, the result is -2.

Front

How do you represent a word problem as a system of equations?

Back

Identify the variables, translate the relationships into equations, and ensure the equations reflect the conditions given in the problem.

Front

What is the solution to the system of equations x + y = -10 and x - y = -2?

Back

The solution is (-3, -7). You can solve it using substitution or elimination methods.

Front

What is the sine function in trigonometry?

Back

The sine function, sin(θ), is a ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

How do you find sin(C) if you know the lengths of the sides of a right triangle?

Back

Use the formula sin(C) = opposite/hypotenuse. For example, if the opposite side is 7 and the hypotenuse is 25, then sin(C) = 7/25.

Front

What is the difference between a linear equation and a system of equations?

Back

A linear equation represents a straight line on a graph, while a system of equations consists of two or more linear equations that can intersect at one point, no points, or infinitely many points.